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Finding the Third Proportional to 48,249.47 and 106,315.13

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Solution

The third proportional to 48,249.47 and 106,315.13 is: 234,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,249.47 : 106,315.13 = 106,315.13 : x
  2. Step 2: Convert to fraction form
    48,249.47/106,315.13 = 106,315.13/x
  3. Step 3: Cross multiply
    48,249.47x = 106,315.13 × 106,315.13
  4. Step 4: Simplify right side
    48,249.47x = 11,302,905,803.77
  5. Step 5: Solve for x
    x = 11,302,905,803.77/48,249.47
  6. Step 6: Final answer
    x = 234,259.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.